2120393331 has 24 divisors (see below), whose sum is σ = 3684561920. Its totient is φ = 1147881456.

The previous prime is 2120393321. The next prime is 2120393333. The reversal of 2120393331 is 1333930212.

It is not a de Polignac number, because 2120393331 - 2¹⁵ = 2120360563 is a prime.

It is a super-2 number, since 2×2120393331² = 8992135756298551122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2120393295 and 2120393304.

It is not an unprimeable number, because it can be changed into a prime (2120393333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884515 + ... + 886908.

Almost surely, 2^2120393331 is an apocalyptic number.

2120393331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2120393331 is a deficient number, since it is larger than the sum of its proper divisors (1564168589).

2120393331 is a wasteful number, since it uses less digits than its factorization.

2120393331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771455 (or 1771452 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 2120393331 is about 46047.7288365018. The cubic root of 2120393331 is about 1284.7111001981.

The spelling of 2120393331 in words is "two billion, one hundred twenty million, three hundred ninety-three thousand, three hundred thirty-one".